Results for Point Group C7h



Symmetric powers of degenerate representation E'2
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C7 2(C7)2 2(C7)3 σh 2S7 2(S7)5 2(S7)3
1 2 -0.445 -1.802 1.247 2 -0.445 -1.802 1.247
2 3 -0.802 2.247 0.555 3 -0.802 2.247 0.555
3 4 0.802 -2.247 -0.555 4 0.802 -2.247 -0.555
4 5 0.445 1.802 -1.247 5 0.445 1.802 -1.247
5 6 -1.000 -1.000 -1.000 6 -1.000 -1.000 -1.000
6 7 -0.000 0.000 0.000 7 -0.000 -0.000 0.000
7 8 1.000 1.000 1.000 8 1.000 1.000 1.000
8 9 -0.445 -1.802 1.247 9 -0.445 -1.802 1.247
9 10 -0.802 2.247 0.555 10 -0.802 2.247 0.555
10 11 0.802 -2.247 -0.555 11 0.802 -2.247 -0.555
11 12 0.445 1.802 -1.247 12 0.445 1.802 -1.247
12 13 -1.000 -1.000 -1.000 13 -1.000 -1.000 -1.000
13 14 -0.000 0.000 0.000 14 -0.000 -0.000 0.000
14 15 1.000 1.000 1.000 15 1.000 1.000 1.000
15 16 -0.445 -1.802 1.247 16 -0.445 -1.802 1.247
16 17 -0.802 2.247 0.555 17 -0.802 2.247 0.555
17 18 0.802 -2.247 -0.555 18 0.802 -2.247 -0.555
18 19 0.445 1.802 -1.247 19 0.445 1.802 -1.247
19 20 -1.000 -1.000 -1.000 20 -1.000 -1.000 -1.000
20 21 -0.000 0.000 0.000 21 -0.000 -0.000 0.000


Decomposition to irreducible representations
Power
To
A' E'1* E'2* E'3* A'' E''1* E''2* E''3*
1 0 0 1 0 0 0 0 0 E'2
2 1 0 0 1 0 0 0 0 A'⊕E'3
3 0 1 1 0 0 0 0 0 E'1⊕E'2
4 1 1 0 1 0 0 0 0 A'⊕E'1⊕E'3
5 0 1 1 1 0 0 0 0 E'1⊕E'2⊕E'3
6 1 1 1 1 0 0 0 0 A'⊕E'1⊕E'2⊕E'3
7 2 1 1 1 0 0 0 0 2A'⊕E'1⊕E'2⊕E'3
8 1 1 2 1 0 0 0 0 A'⊕E'1⊕2E'2⊕E'3
9 2 1 1 2 0 0 0 0 2A'⊕E'1⊕E'2⊕2E'3
10 1 2 2 1 0 0 0 0 A'⊕2E'1⊕2E'2⊕E'3
11 2 2 1 2 0 0 0 0 2A'⊕2E'1⊕E'2⊕2E'3
12 1 2 2 2 0 0 0 0 A'⊕2E'1⊕2E'2⊕2E'3
13 2 2 2 2 0 0 0 0 2A'⊕2E'1⊕2E'2⊕2E'3
14 3 2 2 2 0 0 0 0 3A'⊕2E'1⊕2E'2⊕2E'3
15 2 2 3 2 0 0 0 0 2A'⊕2E'1⊕3E'2⊕2E'3
16 3 2 2 3 0 0 0 0 3A'⊕2E'1⊕2E'2⊕3E'3
17 2 3 3 2 0 0 0 0 2A'⊕3E'1⊕3E'2⊕2E'3
18 3 3 2 3 0 0 0 0 3A'⊕3E'1⊕2E'2⊕3E'3
19 2 3 3 3 0 0 0 0 2A'⊕3E'1⊕3E'2⊕3E'3
20 3 3 3 3 0 0 0 0 3A'⊕3E'1⊕3E'2⊕3E'3



Last update January, 3rd 2020 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement